Grade 4 Maths Resources (1.5.1 Subtraction of 5 Digit Numbers with ... - Free Printable
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Step-by-step solution for: Grade 4 Maths Resources (1.5.1 Subtraction of 5 Digit Numbers with ...
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Show Answer Key & Explanations
Step-by-step solution for: Grade 4 Maths Resources (1.5.1 Subtraction of 5 Digit Numbers with ...
Let’s solve each subtraction problem step by step. I’ll go one at a time, carefully subtracting the bottom number from the top number.
---
Problem 1: 50833 - 35751
Start from the right:
- 3 - 1 = 2
- 3 - 5 → can’t do, borrow: 13 - 5 = 8 (the 8 becomes 7)
- 7 - 7 = 0
- 0 - 5 → can’t do, borrow: 10 - 5 = 5 (the 5 becomes 4)
- 4 - 3 = 1
→ 15082
Wait — let me double-check with direct calculation:
50833
-35751
= ?
50833 - 35000 = 15833
15833 - 751 = 15082 ✔
---
Problem 2: 84530 - 73430
Easy! Both end in 30.
84530 - 73430 = (84530 - 73000) - 430 = 11530 - 430 = 11100
Or directly:
84530
-73430
= 11100 ✔
---
Problem 3: 90078 - 34856
Do it column by column:
8 - 6 = 2
7 - 5 = 2
0 - 8 → borrow: 10 - 8 = 2 (but next digit is 0, so need to borrow further)
Actually, better to write:
90078
- 34856
--------
Right to left:
8 - 6 = 2
7 - 5 = 2
0 - 8 → can’t, borrow from left. But left is 0, so go to 9.
Borrow: 9 becomes 8, first 0 becomes 10, then lend to next 0 → that 0 becomes 9, and last 0 becomes 10.
So now:
Thousands place: 9 (after borrowing)
Hundreds: 9 (was 0, borrowed from thousands)
Tens: 10 (was 0, borrowed from hundreds)
Units: already did.
Wait — let's align:
9 0 0 7 8
- 3 4 8 5 6
------------
Start from units:
8 - 6 = 2
7 - 5 = 2
0 - 8 → borrow from left. Left is 0, so go to 9.
Change 9 to 8, middle 0 becomes 10, then lend to right 0 → that becomes 9, and current 0 becomes 10.
Now:
Ten-thousands: 8
Thousands: 9
Hundreds: 10
Tens: 7 → wait no, we’re at hundreds place now.
After borrowing:
Number becomes: 8 9 10 7 8? No.
Original: 90078
We are at hundreds place: digit is 0, need to subtract 8.
So:
Look at ten-thousands: 9 → reduce to 8
Thousands: 0 → becomes 10, but we need to lend to hundreds, so thousands become 9, hundreds become 10.
Now:
Ten-thousands: 8
Thousands: 9
Hundreds: 10
Tens: 7
Units: 8
Now subtract:
Units: 8 - 6 = 2
Tens: 7 - 5 = 2
Hundreds: 10 - 8 = 2
Thousands: 9 - 4 = 5
Ten-thousands: 8 - 3 = 5
→ 55222
Check: 34856 + 55222 = 90078?
34856 + 55000 = 89856; +222 = 90078 ✔
---
Problem 4: 36366 - 24085
6 - 5 = 1
6 - 8 → borrow: 16 - 8 = 8 (3 becomes 2)
2 - 0 = 2
6 - 4 = 2
3 - 2 = 1
→ 12281
Check: 24085 + 12281 = 36366?
24085 + 12000 = 36085; +281 = 36366 ✔
---
Problem 5: 72643 - 41932
3 - 2 = 1
4 - 3 = 1
6 - 9 → borrow: 16 - 9 = 7 (2 becomes 1)
1 - 1 = 0
7 - 4 = 3
→ 30711
Check: 41932 + 30711 = 72643?
41932 + 30000 = 71932; +711 = 72643 ✔
---
Problem 6: 66208 - 43276
8 - 6 = 2
0 - 7 → borrow: 10 - 7 = 3 (2 becomes 1)
1 - 2 → borrow: 11 - 2 = 9 (6 becomes 5)
5 - 3 = 2
6 - 4 = 2
→ 22932
Check: 43276 + 22932 = 66208?
43276 + 22000 = 65276; +932 = 66208 ✔
---
Problem 7: 20575 - 12345
5 - 5 = 0
7 - 4 = 3
5 - 3 = 2
0 - 2 → borrow: 10 - 2 = 8 (2 becomes 1)
1 - 1 = 0
→ 8230
Check: 12345 + 8230 = 20575?
12345 + 8000 = 20345; +230 = 20575 ✔
---
Problem 8: 74250 - 53442
0 - 2 → borrow: 10 - 2 = 8 (5 becomes 4)
4 - 4 = 0
2 - 4 → borrow: 12 - 4 = 8 (4 becomes 3)
3 - 3 = 0
7 - 5 = 2
→ 20808
Check: 53442 + 20808 = 74250?
53442 + 20000 = 73442; +808 = 74250 ✔
---
Problem 9: 37463 - 25122
3 - 2 = 1
6 - 2 = 4
4 - 1 = 3
7 - 5 = 2
3 - 2 = 1
→ 12341
Check: 25122 + 12341 = 37463?
25122 + 12000 = 37122; +341 = 37463 ✔
---
Problem 10: 45537 - 42840
7 - 0 = 7
3 - 4 → borrow: 13 - 4 = 9 (5 becomes 4)
4 - 8 → borrow: 14 - 8 = 6 (5 becomes 4)
4 - 2 = 2
4 - 4 = 0
→ 2697
Check: 42840 + 2697 = 45537?
42840 + 2000 = 44840; +697 = 45537 ✔
---
Problem 11: 62865 - 50623
5 - 3 = 2
6 - 2 = 4
8 - 6 = 2
2 - 0 = 2
6 - 5 = 1
→ 12242
Check: 50623 + 12242 = 62865?
50623 + 12000 = 62623; +242 = 62865 ✔
---
Problem 12: 75628 - 39606
8 - 6 = 2
2 - 0 = 2
6 - 6 = 0
5 - 9 → borrow: 15 - 9 = 6 (7 becomes 6)
6 - 3 = 3
→ 36022
Check: 39606 + 36022 = 75628?
39606 + 36000 = 75606; +22 = 75628 ✔
---
Problem 13: 98500 - 46746
0 - 6 → borrow: 10 - 6 = 4 (0 becomes 9, but previous is 0 too...)
Better:
98500
- 46746
--------
Units: 0 - 6 → borrow from tens. Tens is 0, so borrow from hundreds.
Hundreds is 5 → becomes 4, tens become 10, then lend to units → tens become 9, units become 10.
Now:
Units: 10 - 6 = 4
Tens: 9 - 4 = 5
Hundreds: 4 - 7 → borrow from thousands. Thousands is 8 → becomes 7, hundreds become 14.
14 - 7 = 7
Thousands: 7 - 6 = 1
Ten-thousands: 9 - 4 = 5
→ 51754
Check: 46746 + 51754 = 98500?
46746 + 50000 = 96746; +1754 = 98500 ✔
---
Problem 14: 39999 - 27362
9 - 2 = 7
9 - 6 = 3
9 - 3 = 6
9 - 7 = 2
3 - 2 = 1
→ 12637
Check: 27362 + 12637 = 39999?
27362 + 12000 = 39362; +637 = 39999 ✔
---
Problem 15: 53892 - 43750
2 - 0 = 2
9 - 5 = 4
8 - 7 = 1
3 - 3 = 0
5 - 4 = 1
→ 10142
Check: 43750 + 10142 = 53892?
43750 + 10000 = 53750; +142 = 53892 ✔
---
Final Answer:
1) 15082
2) 11100
3) 55222
4) 12281
5) 30711
6) 22932
7) 8230
8) 20808
9) 12341
10) 2697
11) 12242
12) 36022
13) 51754
14) 12637
15) 10142
---
Problem 1: 50833 - 35751
Start from the right:
- 3 - 1 = 2
- 3 - 5 → can’t do, borrow: 13 - 5 = 8 (the 8 becomes 7)
- 7 - 7 = 0
- 0 - 5 → can’t do, borrow: 10 - 5 = 5 (the 5 becomes 4)
- 4 - 3 = 1
→ 15082
Wait — let me double-check with direct calculation:
50833
-35751
= ?
50833 - 35000 = 15833
15833 - 751 = 15082 ✔
---
Problem 2: 84530 - 73430
Easy! Both end in 30.
84530 - 73430 = (84530 - 73000) - 430 = 11530 - 430 = 11100
Or directly:
84530
-73430
= 11100 ✔
---
Problem 3: 90078 - 34856
Do it column by column:
8 - 6 = 2
7 - 5 = 2
0 - 8 → borrow: 10 - 8 = 2 (but next digit is 0, so need to borrow further)
Actually, better to write:
90078
- 34856
--------
Right to left:
8 - 6 = 2
7 - 5 = 2
0 - 8 → can’t, borrow from left. But left is 0, so go to 9.
Borrow: 9 becomes 8, first 0 becomes 10, then lend to next 0 → that 0 becomes 9, and last 0 becomes 10.
So now:
Thousands place: 9 (after borrowing)
Hundreds: 9 (was 0, borrowed from thousands)
Tens: 10 (was 0, borrowed from hundreds)
Units: already did.
Wait — let's align:
9 0 0 7 8
- 3 4 8 5 6
------------
Start from units:
8 - 6 = 2
7 - 5 = 2
0 - 8 → borrow from left. Left is 0, so go to 9.
Change 9 to 8, middle 0 becomes 10, then lend to right 0 → that becomes 9, and current 0 becomes 10.
Now:
Ten-thousands: 8
Thousands: 9
Hundreds: 10
Tens: 7 → wait no, we’re at hundreds place now.
After borrowing:
Number becomes: 8 9 10 7 8? No.
Original: 90078
We are at hundreds place: digit is 0, need to subtract 8.
So:
Look at ten-thousands: 9 → reduce to 8
Thousands: 0 → becomes 10, but we need to lend to hundreds, so thousands become 9, hundreds become 10.
Now:
Ten-thousands: 8
Thousands: 9
Hundreds: 10
Tens: 7
Units: 8
Now subtract:
Units: 8 - 6 = 2
Tens: 7 - 5 = 2
Hundreds: 10 - 8 = 2
Thousands: 9 - 4 = 5
Ten-thousands: 8 - 3 = 5
→ 55222
Check: 34856 + 55222 = 90078?
34856 + 55000 = 89856; +222 = 90078 ✔
---
Problem 4: 36366 - 24085
6 - 5 = 1
6 - 8 → borrow: 16 - 8 = 8 (3 becomes 2)
2 - 0 = 2
6 - 4 = 2
3 - 2 = 1
→ 12281
Check: 24085 + 12281 = 36366?
24085 + 12000 = 36085; +281 = 36366 ✔
---
Problem 5: 72643 - 41932
3 - 2 = 1
4 - 3 = 1
6 - 9 → borrow: 16 - 9 = 7 (2 becomes 1)
1 - 1 = 0
7 - 4 = 3
→ 30711
Check: 41932 + 30711 = 72643?
41932 + 30000 = 71932; +711 = 72643 ✔
---
Problem 6: 66208 - 43276
8 - 6 = 2
0 - 7 → borrow: 10 - 7 = 3 (2 becomes 1)
1 - 2 → borrow: 11 - 2 = 9 (6 becomes 5)
5 - 3 = 2
6 - 4 = 2
→ 22932
Check: 43276 + 22932 = 66208?
43276 + 22000 = 65276; +932 = 66208 ✔
---
Problem 7: 20575 - 12345
5 - 5 = 0
7 - 4 = 3
5 - 3 = 2
0 - 2 → borrow: 10 - 2 = 8 (2 becomes 1)
1 - 1 = 0
→ 8230
Check: 12345 + 8230 = 20575?
12345 + 8000 = 20345; +230 = 20575 ✔
---
Problem 8: 74250 - 53442
0 - 2 → borrow: 10 - 2 = 8 (5 becomes 4)
4 - 4 = 0
2 - 4 → borrow: 12 - 4 = 8 (4 becomes 3)
3 - 3 = 0
7 - 5 = 2
→ 20808
Check: 53442 + 20808 = 74250?
53442 + 20000 = 73442; +808 = 74250 ✔
---
Problem 9: 37463 - 25122
3 - 2 = 1
6 - 2 = 4
4 - 1 = 3
7 - 5 = 2
3 - 2 = 1
→ 12341
Check: 25122 + 12341 = 37463?
25122 + 12000 = 37122; +341 = 37463 ✔
---
Problem 10: 45537 - 42840
7 - 0 = 7
3 - 4 → borrow: 13 - 4 = 9 (5 becomes 4)
4 - 8 → borrow: 14 - 8 = 6 (5 becomes 4)
4 - 2 = 2
4 - 4 = 0
→ 2697
Check: 42840 + 2697 = 45537?
42840 + 2000 = 44840; +697 = 45537 ✔
---
Problem 11: 62865 - 50623
5 - 3 = 2
6 - 2 = 4
8 - 6 = 2
2 - 0 = 2
6 - 5 = 1
→ 12242
Check: 50623 + 12242 = 62865?
50623 + 12000 = 62623; +242 = 62865 ✔
---
Problem 12: 75628 - 39606
8 - 6 = 2
2 - 0 = 2
6 - 6 = 0
5 - 9 → borrow: 15 - 9 = 6 (7 becomes 6)
6 - 3 = 3
→ 36022
Check: 39606 + 36022 = 75628?
39606 + 36000 = 75606; +22 = 75628 ✔
---
Problem 13: 98500 - 46746
0 - 6 → borrow: 10 - 6 = 4 (0 becomes 9, but previous is 0 too...)
Better:
98500
- 46746
--------
Units: 0 - 6 → borrow from tens. Tens is 0, so borrow from hundreds.
Hundreds is 5 → becomes 4, tens become 10, then lend to units → tens become 9, units become 10.
Now:
Units: 10 - 6 = 4
Tens: 9 - 4 = 5
Hundreds: 4 - 7 → borrow from thousands. Thousands is 8 → becomes 7, hundreds become 14.
14 - 7 = 7
Thousands: 7 - 6 = 1
Ten-thousands: 9 - 4 = 5
→ 51754
Check: 46746 + 51754 = 98500?
46746 + 50000 = 96746; +1754 = 98500 ✔
---
Problem 14: 39999 - 27362
9 - 2 = 7
9 - 6 = 3
9 - 3 = 6
9 - 7 = 2
3 - 2 = 1
→ 12637
Check: 27362 + 12637 = 39999?
27362 + 12000 = 39362; +637 = 39999 ✔
---
Problem 15: 53892 - 43750
2 - 0 = 2
9 - 5 = 4
8 - 7 = 1
3 - 3 = 0
5 - 4 = 1
→ 10142
Check: 43750 + 10142 = 53892?
43750 + 10000 = 53750; +142 = 53892 ✔
---
Final Answer:
1) 15082
2) 11100
3) 55222
4) 12281
5) 30711
6) 22932
7) 8230
8) 20808
9) 12341
10) 2697
11) 12242
12) 36022
13) 51754
14) 12637
15) 10142
Parent Tip: Review the logic above to help your child master the concept of subtraction worksheet with regrouping 5 digit.